abstract: Differentiating an $n$-groupoid via the differential-geometric fat point a priori only yielads a presheaf of graded manifolds. In this article we prove that this presheaf is representable by the tangent complex of the $n$-groupoid. As an immediate consequence we obtain that the tangent complex carries the structure of a Lie $n$-algebroid.

Download the bibliographic data or copy it from here: 
@misc{Li-Differentiating-L_infty-groupoids-2023,
 abstract = {Differentiating an $n$-groupoid via the differential-geometric fat point a
priori only yielads a presheaf of graded manifolds. In this article we prove
that this presheaf is representable by the tangent complex of the $n$-groupoid.
As an immediate consequence we obtain that the tangent complex carries the
structure of a Lie $n$-algebroid.},
 arxiv = {arXiv:2309.00901},
 author = {Li, Du and Ryvkin, Leonid and Wessel, Arne and Zhu, Chenchang},
 eprint = {2309.00901},
 howpublished = {Preprint, {arXiv}:2309.00901 [math.{DG}] (2023)},
 keywords = {58A50,55U10,18N65},
 title = {Differentiating ${L_\infty}$ groupoids -- {Part} {I}},
 url = {https://arxiv.org/abs/2309.00901},
 year = {2023}
}